If the radius of a circle is increased by a factor of x, then the area is increased by what factor?

Answers

Answer 1

Given parameters;

  The radius of a circle is increased by a factor of x;

   let the radius of the circle  = r;

     The increased radius = rx

Area of a circle is given as πr²;

   Initially, the area of the circle  = πr²

where r is the radius

New area after the increase = π x (rx)²  = πr²x²

To compare the factor with which the area increased;

          Factor = [tex]\frac{New area}{original area}[/tex]  = πr²x² / πr²  = x²

The area increased by a factor of x²


Related Questions

Which of the following statements best describes the European Union (EU)?
A. The EU is an organization whose goal is to unite Europe into a single political state.
B. The EU is a political and economic partnership among separate European nations.
C. The EU is a military partnership among separate European nations.
D. The EU is a term used to describe the common ancestry of many European nations.

Answers

Answer:

A.) The EU is an organization whose goal is to unite Europe into a single political state.

Explanation:

edge2020

Answer:

The answer is B. The EU is a political and economic partnership among separate European nations.

Got it right on Edge 2022

Why is it colder in the mountains than in the lower elevations?

Answers

Answer:

As air rises, the pressure decreases. It is this lower pressure at higher altitudes that causes the temperature to be colder on top of a mountain than at lower elevations.

Even though warm air rises it has to do with the pressure. When you go higher in elevation there’s more and more air pressure that’s why you can only be so high before you need an oxygen mask

How do lines of latitude and longitude help locate places on earth's surface with greater accuracy

Answers

Latitude and longitude lines form an imaginary grid over the entire surface of Earth. This grid provides everyone with the same tools for navigation. Using latitude and longitude, you can locate any place on the planet. Latitude is based on an imaginary line that circles Earth halfway between the north and south poles.

How would a historian use this political map to study Roman civilization?

to understand Roman forms of government
to determine how the Roman Empire expanded over time
to determine how much wealth the Roman Empire had
to understand how geography affected Roman culture

Answers

Answer:

Correct answer is to determine how the Roman Empire expanded over time .

Explanation:

To determine how the Roman Empire expanded over time is the correct answer as it refers to the spreading of Roman civilization across different regions, areas and even continents. With its spreading Romans spread language, religion and culture.

First option is not correct as we can't conclude what is the form of government in certain country through map.

Third option is also not correct because those data can't be find in the map.

Fourth option is also not correct as we can't understand the affection of geography on the culture through maps that much.

What are the five sub-regions of Africa?

Answers

Answer:

North Africa.East Africa.Central Africa.West Africa.Southern Africa.

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5. The species in different ecosystems vary a lot. What is an example of a pattern of similarity in the feeding relationships in different ecosystems?

Answers

Answer:

All feeding relationships start with the sun no matter the ecosystem

or

The same of plants and animals increases as you go up on the feeding hierarchy  

Explanation:

both of these work it's up to you to pick which one you want to use

Both the Northeast and the Southeast regions of Brazil experience __________________.

a. extreme drought
b. typhoons
c. hurricanes
d. heavy rain

Answers

The answer is B that should be the answer

Answer:

Both areas experience D. Heavy rain

Which explains the difference between the equator and the prime meridian?

The equator separates the Northern and Southern hemispheres, while the prime meridian divides the Western and Eastern hemispheres.
The equator separates the Western and Eastern hemispheres, while the prime meridian divides the Northern and Southern hemispheres.
The equator separates the Northern and Western hemispheres, while the prime meridian divides the Southern and Eastern hemispheres.
The equator separates the Western and Southern hemispheres, while the prime meridian divides the Northern and Eastern hemispheres.

Answers

Answer:

The equator separates the Northern and Southern hemispheres, while the prime meridian divides the Western and Eastern hemispheres.

Explanation:

The line that circles the Earth midway between the North and South poles is known as the Equator, whereas the Prime Meridian is the line that passes through Greenwich, England. The fictitious line that circles the globe's center is known as the Equator.

Thus, Option A is correct.

How are the Equator and the prime meridian similar?

The Earth is completely encircled by the equator and prime meridian circles. The Northern and Southern Hemispheres are divided by the Equator.

At 0° latitude, the Equator is located. The Prime Meridian divides the hemispheres into the Eastern and Western. The Equator's line of zero degrees latitude separates the Earth into its two equal hemispheres (north and south).

Latitude of 0 degrees marks the location of the Equator. Caitlin Dempsey, map The Prime Meridian is a hypothetical line at latitude 0 degrees.

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The water in Mesopotamian canals and irrigation ditches was controlled by
A farmers
B. regulators
C. tax collectors
D. regional governors


Please help due today 10/5/2020
I only have 22 minutes

Answers

The answer is B. Regulators

The following line graph tracks the average salaries of employees at a company.Which of the following observations about the information in the graph is most accurate?

Answers

Answer:

The average salary mostly increased between 2000 and 2008.

Explanation:

I took the test.

What were the advantages and disadvantages of
the Roman occupation?
DNA?????


THIS IS RELIGION BTW SOMEONE HELP!!!!!

Answers

Answer:

I'm not 100% sure but-

When I was in class someone said that romans were very high in the socialclass. When Saul, i think, was torchured he then said he was Romen. Apparently, because he was born Romen, they shouldn't have been allowed to do so. In many areas being Romen makes you very heigh in the social class, or so...

what river is found west of the Caucasus Mountains

Answers

Answer:

not really sure but for some reason google says its the black sea

Explanation:



Identify art forms that are common in western and central Africa. Why are these art forms so important to cultures in
this region?

Answers

Weaving, sculpting, carving, music, and dance are all important art forms in western and central Africa. These artistic forms serve both practical and ceremonial purposes. They often have religious meaning, and they may be used as a form of expression.

Western and central Africa are home to numerous significant art forms, including weaving, carving, sculpture, music, and dance.

What does art form mean?

A novel, sonata, or sonnet are examples of traditionally accepted artistic compositions that fall under the definition of an art form. An artform is something that is thought to be a vehicle for imaginative or creative self-expression.

The phrase "art form" refers to a practice or creative endeavor that can be viewed as a vehicle for artistic expression. Both utilitarian and ceremonial uses are served by these creative forms.

They can be used as a form of expression and frequently have religious connotations. Painting, sculptor, literature, architecture, theatre, cinematography, and music are among the seven types of art.

Learn more about art form from here:

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5 interesting facts about North America! And South American also Europe. X

Answers

Answer:

1st Fact about N. America: Vikings were first European settlers NOT COLUMBUS

2nd Fact about Europe; Spain has no words in their National Anthem. No Joke im Serious

3rd Fact about Europe: In Wales there is a city called llanfairpwllgwyngyllgogerychwyrndrobwllllantysiliogogogoch, Wales

which one of the following graphs shows a direct variation

Answers

Answer:

A graph shows direct variation if it goes throught the origin. The equation is y=kx, where I is a constant, which is apparent when we write the equation as yx=k. In slope intercept form, the equation form, the equation would be y=mx+b, where m=k, and b=0

what is the importance of relating the polarity of molecules to its physical properties.​

Answers

In chemistry, polarity is a separation of electric charge leading to a molecule or its chemical groups having an electric dipole moment, with a negatively charged end and a positively charged end.

Answer:

The polarity of a bond is the distribution of electrical charge over the atoms joined by ... The polarity of H2O is of profound importance for the properties of water.



In the mid 1800s, many Americans living on the east coast moved West in search of jobs building the railroad or for get rich quick ideas like the gold rush in
California. Which statement best describes this migration?
A interregional migration
B. voluntary international migration
OC. political push migration
OD forced intraregional migration
E. intercontinental migration

Answers

Answer:

The correct option is (B)

(B) voluntary international migration

Explanation:

Even people from Mexico and other foreign nations arrived in California to look for the precious metal.

All of the following are effects of toxic spills, except __________.
A.
the chemicals that are released into the air are often poisonous
B.
the oil from a spill can coat a bird’s feathers and an animal’s fur
C.
the cleanup of a spill site is easy and relatively cheap
D.
the water and soil in a spill site become polluted

Answers

Answer:

i think the answer is c

Explanation:

tell me if im wrong

How does the availability of resources impact whether a tribe is sedentary or nomadic?

Answers

Hey there! I'm happy to help!

Sedentary means you stay in one place and aren't very active. Nomadic means that you travel around a lot.

If there are a lot of available resources, the tribe will want to stay because having resources nearby will help them survive much easier. This would make them sedentary.

If there are scarce resources nearby, they will go away and look for more abundant resources, making them more nomadic.

Have a wonderful day! :D

Which front forms widespread clouds, rain, or snow?
A.cold front
B.warm front
C.occluded front
D.stationary front

Answers

Answer:

Occluded Front

Explanation:

Got it right on Edge 2020

Answer:

C: Occluded front

Explanation:

Trust me on this, also can I have brainiest please?

Hope you do well! :D

All of the following are characteristics of place EXCEPT
climate.
vegetation.
street patterns.
O latitude.
O topography.

HELLLPPP HURRY

Answers

Answer:

street patterns??

Explanation:

A plane flying against a jet stream will travel faster than a plane traveling with a jet stream.


Please select the best answer from the choices provided

True
False

Answers

the answer would be FALSE
The answer is false.

Which of the following statements about map projections is true?

A.
They display the Earth’s surface perfectly.
B.
They are 3-D representations of the Earth.
C.
They can distort some of the Earth’s features.
D.
They all display the Earth in the same way.

Answers

Answer:

C- They can distort some of the Earth's features.

Explanation:

Map projections are ways of taking the 3-D Earth and displaying it in a 2-D image.

Maps can't display the Earth's surface perfectly.

Map projections can cause distortion of sizes, distances, and shapes.

Mercator projection- shapes and areas are distorted

Goode Equal Area projection- Earth's oceans are split apart

Winkel Tripel projection- still distorted

All projections have distortion

Different projections are created to meet needs

Answer:

C

took the test on edge

Explanation:

Basalt forms when lava cools on Earth's surface. Granite
forms when magma cools within the Earth. Which of these
statements correctly classifies both basalt and granite?
A. Basalt and granite are both igneous rocks.
B. Basalt and granite are both metamorphic rocks.
C. Basalt is igneous rock, and granite is metamorphic rock.
D. Basalt is metamorphic rock, and granite is igneous rock.
Basalt
Granite

Answers

Answer: The answer Is most likely A

Explanation:

Igneous rocks are classified as any rock formed by means of magma or lava cooling to form rock, including these two

Answer:

A

Explanation:

Because every single type of lava rock is formed in a cycle, made by magma.

The magma creates different variations of rocks that are granite and basalt.

What happens due to divergent plate movement?

A. Mountain formation

B. Volcano eruption

C. Seafloor spreading

D. Earthquakes

Answers

sea floor spreading

Spreading of the seafloor occurs along divergent plate boundaries. When tectonic plates progressively migrate apart from one another, heat produced by the mantle's convection currents causes the crust to become more flexible and thinner. Thus, option C is correct.

What is the seafloor spreading due to divergent plate?

As oceanic plates diverge, tensional stress causes fractures in the lithosphere. Although there is often extensive magma activity at spreading ridges, the driving factor for seafloor spreading ridges is tectonic plate slab pull at subduction zones.

Less dense material tends to ascend, often forming mountains or elevated seafloor regions. Eventually, the crust breaks.

Oceanic crust has a propensity to subduct, or dive under, neighboring continental plates or younger segments of oceanic crust because it cools and eventually becomes denser than the asthenosphere beneath.

Therefore, Seafloor spreading happens due to divergent plate movement.

Learn more about seafloor spreading here:

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How can governments encourage the development of new energy sources?

Answers

Answer:

Governments could give tax benefits to businesses that are developing new energy sources

Which feature of this map best helps the reader
determine the distance between two places?
0 1
O 2
03
04

Answers

Answer:

2

Explanation:

It is 2 because it shows what the color  means and that shows distance.

URGENT NEED HELP NOW!!!
At which location will the Northern Hemisphere experience Summer?

Answers

Answer:

I’d say the bottom option

Explanation: because the sun is facing the top of Earth

Answer:

Its position D

Explanation:

Because the Northern Hemisphere is tilted towards the Sun.

For a regular 36-sided polygon, what is the degree of rotation?
Enter your answer in the box

Answers

Answer:

360-gon all have 80-degree rotational symmetry Hope this helps :)

Explanation:

What is the temperature of the Earth at a depth of 5,000 kilometers?

Answers

Answer:

1000°C

Explanation:

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